The Ramanujan Journal

, Volume 7, Issue 1, pp 49–61

On Borcherds Products Associated with Lattices of Prime Discriminant

  • Jan Hendrik Bruinier
  • Michael Bundschuh
Article

DOI: 10.1023/A:1026222507219

Cite this article as:
Bruinier, J.H. & Bundschuh, M. The Ramanujan Journal (2003) 7: 49. doi:10.1023/A:1026222507219

Abstract

We show that certain spaces of vector valued modular forms are isomorphic to spaces of scalar valued modular forms whose Fourier coefficients are supported on suitable progressions.

As an application we give a very explicit description of Borcherds products on Hilbert modular surfaces.

Weil representationBorcherds productHilbert modular surface

Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Jan Hendrik Bruinier
    • 1
  • Michael Bundschuh
    • 2
  1. 1.Department of MathematicsUniversity of Wisconsin-MadisonMadison
  2. 2.Mathematisches InstitutUniverstität HeidelbergHeidelbergGermany